1610506605513 has 32 divisors (see below), whose sum is σ = 2326164332800. Its totient is φ = 985250739456.

The previous prime is 1610506605481. The next prime is 1610506605553. The reversal of 1610506605513 is 3155066050161.

It is not a de Polignac number, because 1610506605513 - 2⁵ = 1610506605481 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1610506605553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4572723 + ... + 4912311.

It is an arithmetic number, because the mean of its divisors is an integer number (72692635400).

Almost surely, 2^{1610506605513} is an apocalyptic number.

1610506605513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1610506605513 is a deficient number, since it is larger than the sum of its proper divisors (715657727287).

1610506605513 is a wasteful number, since it uses less digits than its factorization.

1610506605513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340321.

The product of its (nonzero) digits is 81000, while the sum is 39.

The spelling of 1610506605513 in words is "one trillion, six hundred ten billion, five hundred six million, six hundred five thousand, five hundred thirteen".